a triangle has sides of lengths 4.2, 5.7, and 7.2 inches. the smallest side of a similar triangle is 1.4 inches. what are the lengths of the other two sides? write the smaller side length first and the larger side length second.
To find the lengths of the other two sides, we need to determine the scale factor between the two triangles. The scale factor is found by dividing the corresponding side lengths of the similar triangles.
Scale Factor = Length of corresponding side in similar triangle / Length of corresponding side in original triangle
In this case, we can use the smallest side length to find the scale factor.
Scale Factor = 1.4 inches / 4.2 inches
Scale Factor = 1/3
Now we can find the lengths of the other two sides in the similar triangle by multiplying the scale factor with the corresponding side lengths in the original triangle.
Length of smaller side in similar triangle = Scale factor * Length of smaller side in original triangle
Length of smaller side in similar triangle = (1/3) * 1.4 inches
Length of smaller side in similar triangle = 0.47 inches
Length of larger side in similar triangle = Scale factor * Length of larger side in original triangle
Length of larger side in similar triangle = (1/3) * 7.2 inches
Length of larger side in similar triangle = 2.4 inches
Therefore, the lengths of the other two sides of the similar triangle are 0.47 inches for the smaller side and 2.4 inches for the larger side.
0.47 is incorrect
I apologize for the mistake. Let's recalculate the lengths of the other two sides of the similar triangle.
Scale Factor = Length of corresponding side in similar triangle / Length of corresponding side in original triangle
Scale Factor = 1.4 inches / 4.2 inches
Scale Factor = 1/3
Length of smaller side in similar triangle = Scale factor * Length of smaller side in original triangle
Length of smaller side in similar triangle = (1/3) * 4.2 inches
Length of smaller side in similar triangle = 1.4 inches
Length of larger side in similar triangle = Scale factor * Length of larger side in original triangle
Length of larger side in similar triangle = (1/3) * 7.2 inches
Length of larger side in similar triangle = 2.4 inches
Therefore, the lengths of the other two sides of the similar triangle are 1.4 inches for the smaller side and 2.4 inches for the larger side.